Consider the following null and alternative hypotheses. Ho : μ =20 Ha : μ > 20 At α = 0.025, what is the appropriate rejection region if z-test is to be used? z ≥1.69   z > 1.69   z  >1.96   z ≥1.96

Consider the following two formulations of the bivariate PRF, where ui and εi are both mean-0 stochastic disturbances (i.e random errors): yi = β0 + β1xi + u yi = α0 + α1(xi − x¯) + ϵ a) Write the OLS estimators of β1 and α1. Are the two estimators the same? b) What is the advantage, if any, of the second model over the first?

For a two-tailed hypothesis test with α = .05 and a sample of n = 16, the boundaries for the critical region are t = ±2.120.

A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample?A. n = 23B. n = 22C. n = 21D. n = 20E. cannot be determined from the information given

Given the test statistic 3.0745 from a Welch’s T-test with Null: u1-u2=0 vs. Alternative: u1-u2>0 where S1=1.63, S2=2.01, n1=34, and n2=32, compute the p-value.

The test statistic of z = 2.22 is obtained when testing the claim that p ne0.492. a . Identify the hypothesis test as being two-tailed, left-tailed, or right- tailed b. Find the P-value. c . Using a significance level of alpha = 0.01 , should we reject H_{0} or should we fail to reject H_{0} ?

The test statistic of z = 1.42 is obtained when testing the claim that p>0.1. A.identify the phyothesis test as being two-tailed, left-tailed, or right-tailed. B.find the p-value. C. Using a significance level of o=0.05, should we reject H0 or should we fail to reject H0?

Use the standard error to construct a approximate prediction interval for Y using an alpha of 5%. (Round your answer to 2 decimal places   x x               Fuel Economy of Selected Vehicles (n = 73, k = 4)                           Obs Vehicle CityMPG Length Width Weight ManTran 1 Acura TL 20 109.3 74.0 3968 0 2 Audi A5 22 108.3 73.0 3583 1 3 BMW 4 Series 428i 22 182.6 71.9 3470 0 4 BMW X1 sDrive28i 23 176.5 70.8 3527 0 5 Buice LaCrosse 18 196.9 73.1 3990 0 6 Buick Enclave 17 201.9 79.0 4724 0 7 Buick Regal 21 190.2 73.1 3692 0 8 Cadillac ATS 22 182.8 71.1 3315 0 9 Cadillac CTS 20 195.5 72.2 3616 0 10 Cadillac Escalade 14 202.5 79.0 5527 0 11 Chevrolet Camaro 1SS 16 190.6 75.5 3719 1 12 Chevrolet Cruze LS 26 181.0 70.7 3097 0 13 Chevrolet Impala LTZ 19 201.3 73.0 3800 0 14 Chevrolet Malibu 2LT 25 191.5 73.0 3532 0 15 Chevrolet Spark LS 31 144.7 61.0 2269 1 16 Chevrolet Suburban LTZ 15 224.0 80.5 5674 0 17 Chrysler 200 Touring LX 20 191.7 72.5…

Find the critical value, z0, from the z table for the given parameters. a=0.10 left tailed test